Chen, Han Lin et Peng, Si Long, Local Properties of Cardinal Interpolatory Function, Acta mathematica Sinica. English series (Print) , 17(4), 2000, pp. 613-620
In [1], a kind of periodic cardinal interpolatory function (PCIF) is constructed, and they also use it to construct periodic wavelets. But the localization of PCIF is not known yet. In this paper, we study the local property of PCIF using two different methods. The results show that PCIF has very good localization. Some new properties of Bernoulli spline are also introduced.